MCQOPTIONS
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MCQOPTIONS
This section includes 194 Mcqs, each offering curated multiple-choice questions to sharpen your Strength Materials knowledge and support exam preparation. Choose a topic below to get started.
| 1. |
A diagram which shows the variation of the axial load at all sections along the span of a beam is |
| A. | Thrust diagram |
| B. | Bending moment diagram |
| C. | Stress diagram |
| D. | Shear force diagram |
| Answer» B. Bending moment diagram | |
| 2. |
Bending moment at any point is equal to algebraic sum of ________. |
| A. | All vertical forces |
| B. | All horizontal forces |
| C. | Forces on either side of the point |
| D. | Moments of forces on either side of the point |
| Answer» E. | |
| 3. |
A simply supported beam of span L carrying a point load w at the centre of the beam. The maximum bending moment is |
| A. | WL |
| B. | WL/2 |
| C. | WL/4 |
| D. | WL/6 |
| Answer» D. WL/6 | |
| 4. |
Point of contraflexure occur when: |
| A. | bending moment is zero |
| B. | bending moment is constant |
| C. | loading is constant |
| D. | bending moment is maximum or minimum |
| Answer» B. bending moment is constant | |
| 5. |
A rigid bar shown in the figure is hinged at A, is supported by a rod at B and carries a load W at C. The resistive force in the rod is - |
| A. | 0.5 W |
| B. | 1.0 W |
| C. | 1.5 W |
| D. | 2.0 W |
| Answer» E. | |
| 6. |
A simply supported beam of length l, carries load w(x) = wox over the entire span. Location of the maximum bending moment in the beam at x will be |
| A. | \(\frac{l}{3}\) |
| B. | \(\frac{l}{\sqrt 3}\) |
| C. | \(\frac{l \sqrt 3}{2}\) |
| D. | \(\frac{l}{\sqrt 2}\) |
| Answer» C. \(\frac{l \sqrt 3}{2}\) | |
| 7. |
Basic equation of deflection (y) of the beam is represented by \(EI\frac{{{d^2}y}}{{d{x^2}}} = M\), where EI → flexural rigidity and M → Bending moment, then \(EI\frac{{{d^3}y}}{{d{x^3}}}\) will be: |
| A. | Rate of loading |
| B. | Shear force at the section |
| C. | Bending moment at section |
| D. | Zero always |
| Answer» C. Bending moment at section | |
| 8. |
In a beam of I-section, which of the following parts will take the maximum shear stress when subjected to traverse loading?1. Flange2. WebSelect the correct answer using the code given below. |
| A. | 1 only |
| B. | 2 only |
| C. | both 1 and 2 |
| D. | neither 1 nor 2 |
| Answer» C. both 1 and 2 | |
| 9. |
Calculate the value of thrust (in kN) at the point A for the figure shown below. |
| A. | 0.866 |
| B. | 0.5 |
| C. | 2 |
| D. | 3 |
| Answer» B. 0.5 | |
| 10. |
A beam ABCD, 6 m long is supported as B and C, 3m apart with overhangs AB = 2m C, end CD = 1m. It carries a uniformly distributed load of 100 kN/m over its entire length:The maximum magnitudes of the bending moment and shear force are |
| A. | 200 kN-m and 250 kN |
| B. | 200 kN-m and 200 kN |
| C. | 50 kN-m and 200 kN |
| D. | 50 kN-m and 250 kN |
| Answer» C. 50 kN-m and 200 kN | |
| 11. |
A shaft is subjected to a bending moment 3 kN-mm and twisting moment 4 kN-mm, then equivalent twisting is: |
| A. | 1 |
| B. | 25 |
| C. | 5 |
| D. | 7 |
| Answer» D. 7 | |
| 12. |
If a distributed force system on a beam is replaced by its statically equivalent force system, which of the following is same for both the beams? |
| A. | Support reactions |
| B. | Shear force diagram |
| C. | Bending moment diagram |
| D. | Maximum bending moment |
| Answer» B. Shear force diagram | |
| 13. |
A simply supported beam carries couple at a point on its span, the shear force: |
| A. | varies by cubic law |
| B. | varies by parabolic law |
| C. | varies linearly |
| D. | Is uniformly throughout |
| Answer» E. | |
| 14. |
A load ‘W’ acts downward at the free end of a cantilever beam of length L. The shear force on the beam at a distance X from the free end is: |
| A. | WX |
| B. | W |
| C. | W.X/L |
| D. | W(L - X)/L |
| Answer» C. W.X/L | |
| 15. |
A cantilever beam OP is connected to another beam PQ with a pin joint as shown in the figure. A load of 10kN is applied at the mid-point of PQ. The magnitude of bending moment (in kN-m) at fixed end O is |
| A. | 2.5 |
| B. | 5 |
| C. | 10 |
| D. | 25 |
| Answer» D. 25 | |
| 16. |
_____ is the algebraic sum of the moments of the forces on either side of the section of a loaded beam. |
| A. | Retaining walls |
| B. | Modulus of Resilience |
| C. | Shearing force |
| D. | Bending moment |
| Answer» E. | |
| 17. |
How many number of points of contra flexure will form in the continuous beam shown in the figure below? |
| A. | 2 |
| B. | 3 |
| C. | 4 |
| D. | 5 |
| Answer» C. 4 | |
| 18. |
If the shear force diagram for a beam is a triangle with the length of the beam as its base, the beam is |
| A. | a cantilever with a point load at its free end. |
| B. | a cantilever with uniformly distributed load over its whole span. |
| C. | a simply supported beam with a point load at its mid-point. |
| D. | a simply supported beam with uniformly distributed load over its whole span. |
| Answer» C. a simply supported beam with a point load at its mid-point. | |
| 19. |
If a beam is fixed (or) built in at one end while its other end is free, then the beam is |
| A. | Cantilever beam |
| B. | Fixed beam |
| C. | Continuous beam |
| D. | None of the above |
| Answer» B. Fixed beam | |
| 20. |
Consider a simply supported beam of length, 50h, with a rectangular cross-section of depth, h, and width, 2h. the beam carries a vertical point load, P, at its mid-point. The ratio of maximum shear stress to the maximum bending stress in the beam is |
| A. | 0.02 |
| B. | 0.1 |
| C. | 0.05 |
| D. | 0.01 |
| Answer» E. | |
| 21. |
A simply supported beam of length 3 m carries a concentrated load of 15 kN at distance of 1 m from left support. The maximum bending moment in the beam: |
| A. | 15 kNm |
| B. | 5 kNm |
| C. | 10 kNm |
| D. | 40 kNm |
| Answer» D. 40 kNm | |
| 22. |
A cantilever beam of length l is subjected to a concentrated load P at a distance of l/3 from the free end. What is the deflection of the free end of the beam? (EI is the flexural rigidity) |
| A. | \(\frac{{2P{l^3}}}{{81EI}}\) |
| B. | \(\frac{{3P{l^3}}}{{81EI}}\) |
| C. | \(\frac{{14P{l^3}}}{{81EI}}\) |
| D. | \(\frac{{15P{l^3}}}{{81EI}}\) |
| Answer» D. \(\frac{{15P{l^3}}}{{81EI}}\) | |
| 23. |
A beam of span 3 m and width 90 mm is loaded as shown in the figure. If the allowable bending stress is 12 MPa, the minimum depth required for the beam will be |
| A. | 218 mm |
| B. | 246 mm |
| C. | 318 mm |
| D. | 346 mm |
| Answer» C. 318 mm | |
| 24. |
If a solid circular shaft is simultaneously subjected to a torque ‘T’ and a bending moment ‘M’, the ratio of maximum bending and maximum torsional shearing stress is given by |
| A. | M/T |
| B. | T/M |
| C. | 2M/T |
| D. | 2T/M |
| Answer» D. 2T/M | |
| 25. |
A simply supported beam of length L is subject to two point loads, each of P unit, at A and B equidistant from supports. Select the correct statement |
| A. | There will be no shear force between A and B and no bending moment between A and B. |
| B. | There will be no shear force between A and B, but there will be uniform bending moment between A and B. |
| C. | There will be uniform shear force between A and B, but bending moment will gradually increase to maximum up to mid point of A and B. |
| D. | There will be uniform shear force between A and B, with maximum bending moment at A and B with gradual decrease to zero at mid point of A and B. |
| Answer» C. There will be uniform shear force between A and B, but bending moment will gradually increase to maximum up to mid point of A and B. | |
| 26. |
A 3 m long beam, simply supported at both ends, carries two equal loads of 10 N each at a distance of 1 m and 2 m from one end. The shear force at the mid-point would be |
| A. | 0 N |
| B. | 5 N |
| C. | 10 N |
| D. | 20 N |
| Answer» B. 5 N | |
| 27. |
A fixed beam is subjected to a uniformly distributed load over its entire span. The joints of contra-flexure will occur on either side of the centre at a distance of ______ from the ends |
| A. | L/√3 |
| B. | L/3 |
| C. | L/(2√3) |
| D. | L(4/√3) |
| Answer» D. L(4/√3) | |
| 28. |
A simply supported beam of length 3 m carries a concentrated load of 12 kN at a distance of 1 m from left support. The maximum bending moment in the beam is |
| A. | 12 kNm |
| B. | 24 kNm |
| C. | 8 kNm |
| D. | 16 kNm |
| Answer» D. 16 kNm | |
| 29. |
In a beam, the bending moment is maximum at the point where the shear force _______. |
| A. | is maximum |
| B. | is minimum |
| C. | changes sign |
| D. | half the total load on the beam |
| Answer» D. half the total load on the beam | |
| 30. |
__________is a beam with one end fixed and the other end simply supported. |
| A. | Fixed beam |
| B. | Continuous beam |
| C. | Propped cantilever beam |
| D. | Over-hanged beam |
| Answer» D. Over-hanged beam | |
| 31. |
A simply supported beam of length 3.5 m carries a triangular load as shown in the figure below. Maximum load intensity is 7.2 kN/m. The location of zero shear stress from point A is: |
| A. | 3 m |
| B. | 1.5 m |
| C. | 2 m |
| D. | 2.5 m |
| Answer» D. 2.5 m | |
| 32. |
Neutral plane of a beam |
| A. | Passes through the C G |
| B. | Lies at bottom most fibre |
| C. | Is one whose length remains unchanged during the deformation |
| D. | None of the above |
| Answer» D. None of the above | |
| 33. |
In a fixed beam of span ‘L’ subjected to a central concentrated load ‘W’, the fixed end moment and moment at midspan are respectively |
| A. | \(\frac{{wl}}{6}\;and\;\frac{{wl}}{{12}}\) |
| B. | \(\frac{wl}{8} \ and \ \frac{wl}{8}\) |
| C. | \(\frac{wl}{6} \ and \ \frac{wl}{12}\) |
| D. | None of these |
| Answer» C. \(\frac{wl}{6} \ and \ \frac{wl}{12}\) | |
| 34. |
A simply supported beam with two equal spans carries uniformly distributed load 'W' on entire length of beam. If each span has length 'L' the bending moment at the central support is - |
| A. | WL2/12 |
| B. | WL2/4 |
| C. | WL2/2 |
| D. | WL2/8 |
| Answer» E. | |
| 35. |
A massless beam of length 4 m has a loading pattern as shown in the figure. The maximum bending moment occurs at: |
| A. | Location B |
| B. | 2675 mm to the right of A |
| C. | 2500 mm to the right of A |
| D. | 3225 mm to the right of A |
| Answer» D. 3225 mm to the right of A | |
| 36. |
A simply supported beam is loaded as shown in the above figure below:The Maximum shear force in the beam will be |
| A. | Zero |
| B. | W |
| C. | 2W |
| D. | 4 W |
| Answer» D. 4 W | |
| 37. |
Maximum bending moment for simply supported beam with udl over entire length of beam, if W = weight of beam and L = length of beam, is: |
| A. | WL/8 |
| B. | WL2/8 |
| C. | WL/4 |
| D. | WL2/4 |
| Answer» B. WL2/8 | |
| 38. |
A single load of 100 kN rolls along a girder of 20 m span. What will be the maximum positive shear force and bending moment? |
| A. | 100 kN, 1,000 kN-m |
| B. | 200 kN, 800 kN-m |
| C. | 100 kN, 500 kN-m |
| D. | 400 kN, 1,200 kN-m |
| E. | 400 kN, 1,000 kN-m |
| Answer» D. 400 kN, 1,200 kN-m | |
| 39. |
A beam of length 10 m carries a uniformly distributed load of 20 KN/m over its entire length and rests on two simple supports. In order that the maximum BM produced in the beam is the least possible, the supports must be placed from the ends at a distance of |
| A. | 5.86 m |
| B. | 4.14 m |
| C. | 2.963 m |
| D. | 2.07 m |
| Answer» E. | |
| 40. |
A simply supported beam is subjected to a couple at a section within its span. It will produce.1. SF diagram of zero magnitude.2. Uniformly varying triangular BM diagram3. Sudden change in sign of BM at the point of application of the couple.4. Equal and opposite reactions at supports.Which of the above statements are correct? |
| A. | 1 and 2 |
| B. | 2 and 3 |
| C. | 3 and 4 |
| D. | 1 and 4 |
| Answer» D. 1 and 4 | |
| 41. |
Maximum bending moment for a simply supported beam shown in figure is |
| A. | \(\frac {WL}{4}\) |
| B. | \(\frac {Wab}{L}\) |
| C. | \(\frac {Wa^2}{L}\) |
| D. | \(\frac {Wb^2}{L}\) |
| Answer» C. \(\frac {Wa^2}{L}\) | |
| 42. |
If the shear force at a section on a beam is zero, the BM at that section is |
| A. | Minimum |
| B. | Zero |
| C. | Maximum |
| D. | None of the above |
| Answer» E. | |
| 43. |
A vertical load of 10 kN acts on a hinge located at a distance of L/4 from the roller supportQ of a beam of length L (see figure).The vertical reaction at support Q is |
| A. | 0.0 kN |
| B. | 2.5 kN |
| C. | 7.5 kN |
| D. | 10.0 kN |
| Answer» B. 2.5 kN | |
| 44. |
A simply supported beam carries a varying load from zero at one end and w at the other end. If the length of the beam is a, the maximum bending moment will beA) \(\frac{wa}{27}\)B) \(\frac{w{{a}^{2}}}{27}\)C) \(\frac{{{w}^{2}}a}{\sqrt{27}}\)D) \(\frac{w{{a}^{2}}}{9\sqrt{3}}\) |
| A. | A Only |
| B. | B Only |
| C. | C Only |
| D. | D Only |
| Answer» E. | |
| 45. |
For a fixed beam of span 'L', carrying uniformly distributed load 'w' on the entire span, the bending moment at the mid span will be: |
| A. | \(\dfrac{wL^2}{8}\) sagging |
| B. | \(\dfrac{wL^2}{12}\) sagging |
| C. | \(\dfrac{wL^2}{12}\) hogging |
| D. | \(\dfrac{wL^2}{24}\) sagging |
| Answer» E. | |
| 46. |
In an I-section of a beam subjected to transverse shear force, the maximum shear stress is developed at |
| A. | the bottom edges of the top flange. |
| B. | the top edges of the top flange |
| C. | the centre of the web |
| D. | the upper edges of the bottom flange. |
| Answer» D. the upper edges of the bottom flange. | |
| 47. |
A fixed beam AB of length ‘l’ having constant flexural rigidity EI carries two loads P at its third points C and D as shown in figure.Numerically, maximum bending moment will occur: |
| A. | at C and at D and will be equal to \(\frac{2}{9}pl\) |
| B. | between C and D and will be equal to \(\frac{{pl}}{9}\) |
| C. | at A and at B and will be equal to \(\frac{2}{9}pl\) |
| D. | between A and C and also between B and D and will be equal to \(\frac{{pl}}{9}\) |
| Answer» D. between A and C and also between B and D and will be equal to \(\frac{{pl}}{9}\) | |
| 48. |
A vertical load of 10 kN acts on a hinge located at a distance of L/4 from the roller support Q of a beam of length L (see figure).The vertical reaction at support Q is |
| A. | 0.0 kN |
| B. | 2.5 kN |
| C. | 7.5 kN |
| D. | 10.0 kN |
| Answer» B. 2.5 kN | |
| 49. |
A cantilever type gate hinged at Q is shown in the figure. P and R are the centers of gravity of the cantilever part and the counterweight respectively. The mass of the cantilever part is 75 kg. The mass of the counterweight, for static balance, is |
| A. | 75 kg |
| B. | 150 kg |
| C. | 225 kg |
| D. | 300 kg |
| Answer» E. | |
| 50. |
A simply supported beam of length L is loaded with a uniformly distributed load of W per unit length. The maximum bending moment will be: |
| A. | \(\frac{{W{L^2}}}{4}\) |
| B. | \(\frac{{W{L^2}}}{8}\) |
| C. | \(\frac{{W{L^2}}}{2}\) |
| D. | WL2 |
| Answer» C. \(\frac{{W{L^2}}}{2}\) | |